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wu :: forums    riddles    general problem-solving / chatting / whatever (Moderators: Eigenray, william wu, Icarus, towr, Grimbal, ThudnBlunder, SMQ)    What a result! « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: What a result!  (Read 507 times) BNC Uberpuzzler     Gender: Posts: 1732 What a result!   « on: Sep 29th, 2003, 3:46pm » Quote Modify Solve this integral (analytical, not numerical solution) to reveal its mysteries...   int(0,1,[x^4*(1-x)^4/(1+x^2)]dx)   IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: What a result!   « Reply #1 on: Sep 30th, 2003, 12:21am » Quote Modify heh, cute IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: What a result!   « Reply #2 on: Sep 30th, 2003, 10:04am » Quote Modify Could you clarify, BNC; is it x^4*(1-x)^(4/(1+x^2)) or is it (x^4*(1-x)^4)/(1+x^2)? IP Logged mathschallenge.net / projecteuler.net towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: What a result!   « Reply #3 on: Sep 30th, 2003, 10:24am » Quote Modify the latter.. (it'd be rather more difficult to solve otherwise) IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: What a result!   « Reply #4 on: Sep 30th, 2003, 10:39am » Quote Modify I rather hoped that was the case; I wouldn't know where to start on the former. In which case... very clever, BNC. How do you discover these results? All we need now is one for 355/113.   IP Logged mathschallenge.net / projecteuler.net BNC Uberpuzzler     Gender: Posts: 1732 Re: What a result!   « Reply #5 on: Sep 30th, 2003, 11:43am » Quote Modify I've heard people say that you could define a mathematician to be someone who finds this result delightful...   Origin: "Pancake functions and approximations to pi" , The Mathematical Gazette, Vol 79, Number 485, July 1995 pp371-374, which won an award for the best Note in 1995.   Note: The integrand is called "a pancake function" because it's very, very flat in [0,1]. Maybe even flater than Kansas     IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] ThudnBlunder wu::riddles Moderator Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Re: What a result!   « Reply #6 on: Sep 30th, 2003, 10:33pm » Quote Modify Quote: Maybe even flater than Kansas   http://www.guardian.co.uk/life/feature/story/0,13026,1048791,00.html IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. BNC Uberpuzzler     Gender: Posts: 1732 Re: What a result!   « Reply #7 on: Oct 1st, 2003, 1:28am » Quote Modify It was discussed here (search for a post by Icarus). That's why I mentioned it in the first place... to tease him. IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ => general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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